The table below shows the scores of a group of students on a 10-point quiz.
The mean score on this test is:
The median score on this test is:
1) The formula of mean is as , mean=
f=frequecy,x=test score,N=total of frequecies
Use following table to get numerator,
mean score =116/20=5.8
Total of frequncy = 20(even number)
Since the number of scores is even, the median is at the average of the (n/2)th=(20/2)=10th position and [(n/2)+1] = 11th position
To find out the 10th position and 11th position, we add up the frequencies as shown:
The score at the 10th position is 5 and the score at the 11th position is 5. The median is the average of the scores at 10th and 11th positions=(5+5)/2=5
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